Topology Seminar

Title: The algebraic K-theory of type 2 spectra
Speaker: Ishan Levy
Speaker Info: MIT
Brief Description:
Special Note:

The algebraic K-theory of the category of finite type n spectra is a fundamental object containing structural information about the stable homotopy category. However until recently almost nothing was known about it for n>1, primarily because it is not the K-theory of a connective ring. In this talk I will explain how, for n=2, it can be computed in terms of K-theory of discrete rings and topological cyclic homology. In particular, we can read off the K-groups in low degrees and find that there is an infinite family of 2-torsion classes in K_0 at the prime 2. I will also explain how to construct type 2 spectra representing these K_0 classes.
Date: Monday, October 10, 2022
Time: 4:00pm
Where: Lunt 104
Contact Person: Benjamin Antieau
Contact email: antieau@northwestern.edu
Contact Phone: 847-491-5544
Copyright © 1997-2024 Department of Mathematics, Northwestern University.